Results are presented on the production of high transverse momentum $\pi \sp0$ mesons from hard scattering collisions of hadrons incident on a nuclear target. The inclusive $\pi \sp0$ production cross-sections were measured as a function of $p\sb{T}$ for $p, \pi \sp+$ and $K\sp+$ incident on beryllium targets. These data were recorded by Fermilab experiment E706 during the 1991 data acquisition period. The $\pi \sp0$ mesons were detected as pairs of high $p\sb{T}$ photons which produced electromagnetic showers in a finely segmented lead-liquid argon calorimeter. The unseparated incident beam particles were identified using the Meson West beamline Cerenkov detector. The measured cross-sections are presented for $\pi \sp0$ mesons in the rapidity range ${-}0.75 y